Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

doi:10.1088/1674-1056/19/4/044301

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 44301-044301.doi: 10.1088/1674-1056/19/4/044301

Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

刘盛春¹, 祝雪丰², 徐涛², 王铁海², 程建春²

(1)Institute of Fibre Optics, Heilongjiang University, Harbin 150080, China; (2)Key Laboratory of Modern Acoustics, MOE, and Institute of Acoustics,Nanjing University, Nanjing 210093, China

收稿日期:2009-06-15 修回日期:2009-08-15 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10874086 and 10834009) and the National Basic Research Program of China (Grant No.~2010CB327803).

Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

Zhu Xue-Feng(祝雪丰)^a), Liu Sheng-Chun(刘盛春)^b), Xu Tao(徐涛)^a), Wang Tie-Hai(王铁海)^a), and Cheng Jian-Chun(程建春)^a)†

^a Key Laboratory of Modern Acoustics, MOE, and Institute of Acoustics,Nanjing University, Nanjing 210093, China; ^b Institute of Fibre Optics, Heilongjiang University, Harbin 150080, China

Received:2009-06-15 Revised:2009-08-15 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10874086 and 10834009) and the National Basic Research Program of China (Grant No.~2010CB327803).

摘要/Abstract

摘要： The super-cell plane wave expansion method is employed to calculate band structures for the design of a silicon-based one-dimensional phononic crystal plate with large absolute forbidden bands. In this method, a low impedance medium is introduced to replace the free stress boundary, which largely reduces the computational complexity. The dependence of band gaps on structural parameters is investigated in detail. To prove the validity of the super-cell plane wave expansion, the transmitted power spectra of the Lamb wave are calculated by using a finite element method. With the detailed computation, the band-gap of a one-dimensional plate can be designed as required with appropriate structural parameters, which provides a guide to the fabrication of a Lamb wave phononic crystal.

Abstract: The super-cell plane wave expansion method is employed to calculate band structures for the design of a silicon-based one-dimensional phononic crystal plate with large absolute forbidden bands. In this method, a low impedance medium is introduced to replace the free stress boundary, which largely reduces the computational complexity. The dependence of band gaps on structural parameters is investigated in detail. To prove the validity of the super-cell plane wave expansion, the transmitted power spectra of the Lamb wave are calculated by using a finite element method. With the detailed computation, the band-gap of a one-dimensional plate can be designed as required with appropriate structural parameters, which provides a guide to the fabrication of a Lamb wave phononic crystal.

Key words: Lamb wave, phononic crystal, super-cell plane wave expansion, band structures

中图分类号: (Phonons or vibrational states in low-dimensional structures and nanoscale materials)

63.22.-m

43.35.Pt (Surface waves in solids and liquids)

祝雪丰, 刘盛春, 徐涛, 王铁海, 程建春. Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method[J]. 中国物理B, 2010, 19(4): 44301-044301.

Zhu Xue-Feng(祝雪丰), Liu Sheng-Chun(刘盛春), Xu Tao(徐涛), Wang Tie-Hai(王铁海), and Cheng Jian-Chun(程建春). Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method[J]. Chin. Phys. B, 2010, 19(4): 44301-044301.

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Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

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